713842 ÷ 65 
Our goal is to divide 713842 by 65.

Moving on to step 1:
When dividing 7 by 65, we get 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 65

Going ahead to step 2:
If we divide 71 by 65, we get 1 and a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 65 away from 71, we end up with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 65

Going ahead to step 3:
63 divided by 65 is 0 with a remainder of 63.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Deduct 0 from 63 and we're left with 63.
Append the next digit (8) from the dividend to 63 and continue with: 638 / 65

Going ahead to step 4:
When dividing 638 by 65, we get 9 with a remainder of 53.
Put 9 as the next digit of the answer. 
Result so far: 109.0
Subtract 585 from 638 to get 53.
Grab the next digit (4) from the dividend, add it to 53, then carry on: 534 / 65

Let's proceed to step 5:
65 can be fit into 534 8 times, resulting in a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 1098.0
Subtract 520 from 534 to get 14.
Append the next digit (2) from the dividend to 14 and continue with: 142 / 65

Step 6:
142 divided by 65 is 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 10982.0
The remainder is 12 after subtracting 130 from 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
120 divided by 65 is 1 with a remainder of 55.
Record the quotient 1 as the next digit in the result. 
Result so far: 10982.1
The remainder is 55 after subtracting 65 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 8:
When dividing 550 by 65, we get 8 with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 10982.18
The remainder is 30 after subtracting 520 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 9:
If we divide 300 by 65, we get 4 and a remainder of 40.
The next digit of our result is 4. 
Result so far: 10982.184
Subtracting 260 from 300 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 10:
The number 65 fits into 400 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 10982.1846
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
The number 65 fits into 100 1 times, leaving a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 10982.18461
Deduct 65 from 100 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 12:
65 can be fit into 350 5 times, resulting in a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 10982.184615
If we take 325 away from 350, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 13:
If we divide 250 by 65, we get 3 and a remainder of 55.
The next digit of our result is 3. 
Result so far: 10982.1846153
If we subtract 195 from 250, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 14:
65 can be fit into 550 8 times, resulting in a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 10982.18461538
If we subtract 520 from 550, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 10982.18461538 with a remaining 3e-08.